For the following two exercises, assume that you haveaccess to a computer program or Internet source that cangenerate a list of zeros and ones of any desired length.Pseudorandom number generators (PRNGs) play animportant role in simulating random noise in physicalsystems by creating sequences of zeros and ones thatappear like the result of flipping a coin repeatedly. One ofthe simplest types of PRNGs recursively defines a random-looking sequence of N integers a₁, a2...., ay by fixingtwo special integers K and M and letting an+1 be theremainder after dividing K.a, into M, then creates a bitsequence of zeros and ones whose nth term b, is equal toone if an is odd and equal to zero if an, is even. If the bitsb, are pseudorandom, then the behavior of their average(b₁ + b₂+ +bNYN should be similar to behavior ofaverages of truly randomly generated bits.65.[T] Starting with K = 16,807 andM = 2,147,483,647, using ten different starting valuesof a compute sequences of bits bn up to n = 1000,and compare their averages to ten such sequences generatedby a random bit generator.

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Answered: For the following two exercises, assume…

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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Exercise 1.A set W of strings of symbols is defined recursively by a, b, and d belong to W. If x belongs to W, so does a(x)d. Provide 3 strings made of 3 letters each belonging to W and show the procedure used to obtain them. Provide 3 strings made of at least 5 letters each belonging to W and show the procedure used to obtain them.
Fibonacci numbers are the numbers in a sequence in which the first three elements are 0, 1, and 1, and the value of each subsequent element is the sum of the previous three elements: 0,1,1,2,4,7,13,24...
For function log, write the missing base case condition and the recursive call. This function computes the log of n to the base b. As an example: log 8 to the base 2 equals 3 since 8 = 2*2*2. We can find this by dividing 8 by 2 until we reach 1, and we count the number of divisions we make. You should assume that n is exactly b to some integer power. Examples: log(2, 4) -> 2 and log(10, 100) -> 2 public int log(int b, int n ) { if <<Missing base case condition>> { return 0; } else { return <<Missing a Recursive case action>> }}
Write a recursive program that takes a positive integer as an input and returns the sum of the digits of the integer. (Example: If the input is 45678, then output will be 30.)
This is a MATLAB Coding problem: Implement a recursive function, called count, that takes two inputs, an array of integers and target integer. count should search the array for the target integer and return the number of occurrences of the target integer in the array. For example: disp(count([1, 2, 4, 1, 2, 1], 1)) % Generates 3disp(count([1, 2, 4, 1, 2, 1], 2)) % Generates 2disp(count([1, 2, 4, 1, 2, 1], 4)) % Generates 1disp(count([1, 2, 4, 1, 2, 1], 9000)) % Generates 0
Write a program in Python that converts Euclid’s algorithm to find the greatest common divisor (GCD) of two positive integers to a recursive function named gcd.
write a MIPS recursive function to evaluate a postfix expression. using intermediate results. for example, given output "123 12 -" it would push the 2 numbers, then upon finding"-" pop 2 numbers do the subtraction push the result, upon find end of string , pop the result and return it.
Design and implement an algorithm using recursion and backtracking to sort an array of integers into ascending order. Consider the given array as input and produce a sorted array as output. Each time you take an integer from the input array, place it at the end of the output array. If the result is unsorted, backtrack.
coding
1. A certain computer algorithm executes four times as many operations when it is run with an input of size n as when it is run with an input of size n – 1. Here, n > 1 is an integer. When the algorithm is run with an input of size 1, it executes 12 operations. How many operations does the algorithm execute when it is run with an input of size 5? How many operations does the algorithm execute when it is run with an input of size n?

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